10^8001+1 = 1000000000...<8002> = 7^2 * 11 * 13 * 19 * 127^2 * 2287 * 2689 * 3557 * 52579 * 459691 * 909091 * 5274739 * 15943327 * 857772733 * 1094479651<10> * 1125629957<10> * 451897625287<12> * 3726920622853<13> * 22242405278881<14> * 45554137998223<14> * 17315999665957567<17> * 616896149073719728613<21> * 4514666454616035926293<22> * 10860110813777339731289<23> * 1053449334720579590200819<25> * 52034716615139419063969613<26> * 189772422673235585874485732659<30> * 1515780514077670348158815644201<31> * 425025621750857025548663809587331<33> * 1502965420159918762218214093655809<34> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * [3089139056...<679>] * [4500412551...<743>] * [1544425018...<1424>] * [1547990214...<4508>] (8.12%)
10^8002+1 = 1000000000...<8003> = 101 * 32009 * 80021 * 759781769969<12> * 54668471381921<14> * 45818048027814684113029<23> * [2031141421...<7943>] (0.75%)
10^8003+1 = 1000000000...<8004> = 11 * 16007 * 181288487 * 153653579173<12> * 12331942624071394811<20> * 31331216296939805936693<23> * 2646756758131654397378192081701748003041997<43> * 9090909090909090909090909090909090909090909090909091<52> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [2193337608...<7774>] (2.87%)
10^8004+1 = 1000000000...<8005> = 73 * 137 * 233 * 1657 * 2393 * 13921 * 355193 * 56348161 * 99990001 * 214651273 * 1469409649<10> * 21591416633<11> * 162139061017<12> * 11090099157944399977<20> * 38115215074391056784287931569<29> * 17468739848498438039329935679794457<35> * 246900403017958787131873605843061988161<39> * 33958082351539364799574631597444432756808529<44> * 320326994163169943384295066992439316655840979654890345228609<60> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 1077654773020602154835873595438016994801570811542710006429679112760889048401772560028378495799359646781326368530020399986158679489264953<136> * 2623709608263520547879954791214412810391703985166673562220208867630775121385164482905259044455273939230491414883050557483687370269811018178176841590586944036054473<163> * [2434933219...<2405>] * [6166928584...<4917>] (8.53%)
10^8005+1 = 1000000000...<8006> = 11 * 9091 * 156899 * 192121 * 3842401 * 234898721 * 86759550851<11> * 794205618612841<15> * 36056469502959873542851<23> * [6419538391...<1580>] * [2304517727...<6347>] (0.98%)
10^8006+1 = 1000000000...<8007> = 101 * 1212878737321<13> * [8163215162...<7992>] (0.18%)
10^8007+1 = 1000000000...<8008> = 7 * 11 * 13 * 103 * 4013 * 4397 * 928813 * 3641773 * 21993833369<11> * 24408664087<11> * 67008228943<11> * 87550347583<11> * 248294747971<12> * 291078844423<12> * 386935254007<12> * 624878398402333<15> * 377526955309799110357<21> * 242908551381089331505792728157369<33> * 31547981662215854119939823173543597<35> * 46362291155014458662283849816585346934219100138220618375160747209<65> * 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047<97> * 3163436454570849606598523279232435654261498358914446832597630787726928974906200018053239752601326111930021696487<112> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [4430218556...<2485>] * [2835981264...<4900>] (7.78%)
10^8008+1 = 1000000000...<8009> = 17 * 113 * 1249 * 3697 * 10193 * 49297 * 300977 * 436801 * 648961 * 5882353 * 10100113 * 30357713 * 64348368449<11> * 1882265863878401<16> * 73765755896403138401<20> * 249227787818677482257<21> * 10192257292619783132753<23> * 119968369144846370226083377<27> * 27779607418621809400581330673<29> * 69107936491313674237030826849<29> * 370802969045684565847699177937<30> * 3684195138144979007628488089380457121<37> * 333632766438409011274705987026407639670042305536743429073<57> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * [1289298797...<441>] * [3410421733...<491>] * [5312745819...<945>] * [2645979129...<5709>] (5.30%)
10^8009+1 = 1000000000...<8010> = 11 * 69968946611<11> * [1299277684...<7998>] (0.15%)
10^8010+1 = 1000000000...<8011> = 61 * 101 * 181 * 1069 * 3541 * 9901 * 27961 * 38449 * 64081 * 135281 * 138841 * 208261 * 784981 * 4188901 * 6637621 * 39526741 * 56983141 * 96440401 * 463864441 * 8522774569<10> * 57431716021<11> * 96227440801<11> * 999999000001<12> * 1457410742401<13> * 27011502947658641<17> * 336110303423002201<18> * 558473842263442646521<21> * 4999437541453012143121<22> * 31889291800008130529941<23> * 599228973028194818837581<24> * 836897905421067963377341<24> * 1105097795002994798105101<25> * 337425295721754772647050281<27> * 56503245376088547813059910301<29> * 46051351274930993358718249052727481<35> * 833845535443385228657693694666672878355349<42> * 230054176775871192653155644863986529554894561<45> * 1770802747819705674494038777570386129969127178558041<52> * 7660395383708237627973789216434577857253936548886784731800803873631881<70> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * 229309540864730370446351041336642124666412732568576712467129620907478696860845273528375114013975382707715890725000190512690089662245103560674851784962287610720434009040255487398947007833539127001301<198> * [1133072310...<308>] * 3158469855...<324> * 3444252621...<575> * [1386072464...<632>] * [1494721522...<1041>] * [2037501335...<2070>] * [2596678450...<2080>] (23.51%)
10^8011+1 = 1000000000...<8012> = 11 * 88262252723807<14> * 4699049100049575534157<22> * [2191908011...<7975>] (0.46%)
10^8012+1 = 1000000000...<8013> = 73 * 137 * 48073 * 2257406673760833809<19> * 15343598928129900313<20> * [6005073192...<7966>] (0.58%)
10^8013+1 = 1000000000...<8014> = 7 * 11 * 13 * 320521 * 400651 * 989563864453<12> * 1065171028583093087<19> * 800303061943850607253<21> * [6646075171...<2641>] * [1387587251...<5308>] (0.81%)
10^8014+1 = 1000000000...<8015> = 101 * 88891289 * 3323270518807489<16> * 53469438971172405641464482200929<32> * [6268275847...<7957>] (0.71%)
10^8015+1 = 1000000000...<8016> = 11 * 9091 * 9619 * 909091 * 1266371 * 4147571 * 33582851 * 4201402087<10> * 147430724100851<15> * 265212793249617641<18> * 168122436888310576099<21> * 3182358285538338938011<22> * 2317091604522004723965449<25> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [7461056756...<898>] * [1618984883...<1335>] * [6717135497...<5437>] (4.32%)
10^8016+1 = 1000000000...<8017> = 97 * 353 * 449 * 641 * 1409 * 16033 * 69857 * 206209 * 66554101249<11> * 18466066517537<14> * 75118313082913<14> * 412520656171297<15> * 4889387880365043005482522273<28> * 11367911433049277171613191334945953<35> * [1154779919...<2595>] * [1275647598...<5281>] (1.77%)
10^8017+1 = 1000000000...<8018> = 11 * 2244761 * 191164306213701483277<21> * 1138788047438831285179129<25> * [1860319340...<7966>] (0.65%)
10^8018+1 = 1000000000...<8019> = 101 * 722817036322379041<18> * 1369778187490592461<19> * 303066247254931709383875352640800481<36> * 99707249976318584149879765693999680809341<41> * 3276531267...<344> * [1009999999...<7561>] (5.71%)
10^8019+1 = 1000000000...<8020> = 7 * 11^2 * 13 * 19 * 23 * 487^2 * 1459 * 1783 * 2917 * 4093 * 7129 * 8779 * 52579 * 69499 * 427681 * 67430557 * 70541929 * 146895607 * 599144041 * 756065179 * 2458921051<10> * 7093127053<10> * 9860795173<10> * 14175966169<11> * 183411838171<12> * 389768716652041<15> * 1008776328735583<16> * 456502382570032651<18> * 610600386089858349939139<24> * 8927244623941181398233253<25> * 632621329531962976471138687<27> * 1672233253174133271465377689<28> * 445514740907997463826918277583<30> * 1866763546567680996103417376059<31> * 1376526137506499047899570858595400419<37> * 22663213771462227811088536403512441819<38> * 141122524877886182282233539317796144938305111168717<51> * 112970308382439859401726947341740704554951737408511354573<57> * 74507557122096964531006066514788984423438931950911932421947947339<65> * 899718757349577828631761341730093220713822770643140264600436229195941807849819816835925771559643276518390048146301688389176642719947087961896703<144> * [4957950145...<438>] * [3476575242...<473>] * [1398244719...<1588>] * [2946216979...<4783>] (9.22%)
10^8020+1 = 1000000000...<8021> = 73 * 137 * 19249 * 1676321 * 6865121 * 218785601 * 5964848081<10> * 9044442721<10> * 13790098073<11> * 201965818609<12> * 11531959347361<14> * 882085792014457<15> * 317507552436316007856721<24> * 7354107232590100470986320289<28> * [2493212430...<1519>] * [2318678964...<6352>] (1.87%)
10^8021+1 = 1000000000...<8022> = 11 * 859 * 23447 * 515813 * 1058313049<10> * 1196429444731<13> * 26913940894517<14> * 38180660433946868854047802291<29> * 45135180224672561394876945851667198023<38> * [1665377017...<569>] * [8947152953...<7338>] (1.43%)
10^8022+1 = 1000000000...<8023> = 29 * 101 * 281 * 9901 * 77929 * 80221 * 106961 * 206281 * 226549 * 1101689 * 121499449 * 484641109 * 5207032069<10> * 72318410221<11> * 994384717229<12> * 1781089125861109<16> * 4458192223320340849<19> * 13968004259021399202183274452648726337203224861<47> * [8503930644...<324>] * [2749008351...<740>] * [2630502987...<2243>] * [2370285919...<4546>] (2.13%)
10^8023+1 = 1000000000...<8024> = 11 * 4973 * 290249 * 4426889 * 143547517 * 11937389609<11> * 424403109632664761<18> * 138718348812585501845820049<27> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * [1090373188...<7779>] (3.05%)
10^8024+1 = 1000000000...<8025> = 17^2 * 112337 * 2022049 * 5882353 * 26337601 * 13355595217<11> * 1775867753150444278073071788548035842257<40> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * [2138026876...<418>] * [4402359526...<7413>] (2.42%)
10^8025+1 = 1000000000...<8026> = 7 * 11 * 13 * 211 * 241 * 251 * 1499 * 2161 * 5051 * 9091 * 28463 * 67411 * 74687 * 392263 * 795653 * 7569823 * 7912651 * 2607209081<10> * 12779652001<11> * 2366998879807<13> * 46274307120001<14> * 78875943472201<14> * 520844005510608743851<21> * 3842232569207913463201<22> * 9542548805171863853651<22> * 20887862408486317826041<23> * 899788378170104270110161037<27> * 4298338634928851216299618775086771<34> * 10000099999999989999899999000000000100001<41> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * 6816076420889383530061928052932135771677823056533405853711387425758295002889889651952292014505658492373383206329623842705963383073925056196658386867709651975318465023<166> * [4219028723...<415>] * [1176525412...<778>] * [6617997869...<2049>] * [2161004804...<4227>] (6.96%)
10^8026+1 = 1000000000...<8027> = 101 * 12415002049<11> * 11220379748436542459729<23> * 230434156416919357504854149<27> * 4658319375280038836593342482714709<34> * [6621374638...<7932>] (1.17%)
10^8027+1 = 1000000000...<8028> = 11 * 47 * 139 * 2531 * 3491 * 549797184491917<15> * 3361543170437980531667161105832265329<37> * 35927713091621749764338565947172319082597<41> * 2156200781...<268> * [1099999999...<7657>] (4.62%)
10^8028+1 = 1000000000...<8029> = 73 * 137 * 3169 * 16057 * 98641 * 128449 * 642241 * 3120217 * 99990001 * 3199044596370769<16> * 35678824145066161<17> * 60426672084225841<17> * 348392194603818553<18> * 1879805501181496849<19> * 77720932598970770971176668683177333921<38> * 1506299242872513223456886300848222812688553<43> * [5319158166...<804>] * [2196778695...<1730>] * [1252630619...<5289>] (2.58%)
10^8029+1 = 1000000000...<8030> = 11 * 7253 * 32117 * 240437 * 909091 * 1142669053<10> * 44386050853<11> * 2395341333743<13> * 422650073734453<15> * 296557347313446299<18> * 313360308665807383<18> * 579210707460230341693<21> * 909090909090909090909090909091<30> * 4748510899300162563150136104999362670229727801<46> * 3091086674769589337569777240589592264676648718635101423877<58> * 74941782666871080572139707864851693613852773414268140020183607240075991444673103041682886153162527722083599097543<113> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * [2478256071...<1070>] * [1181693856...<6464>] (6.18%)
10^8030+1 = 1000000000...<8031> = 89 * 101 * 661 * 3541 * 16061 * 18041 * 27961 * 144541 * 148721 * 770881 * 5911541 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 16692085818029<14> * 405007685327621<15> * 5774294197526381<16> * 1574095173557315161<19> * 8383648187691944581<19> * 121574845862187546181<21> * 665787365080314723361<21> * 14947162642878875393981<23> * 128018594791661318200369<24> * 182202742802607835615596881<27> * 1395900370916327245555441901<28> * 23029730054839183841818690841<29> * 36380545029953205956377406702261<32> * 4941698957237831273165154533595725287181<40> * 430290068517717503314541569581514324311872414409341453561896330801<66> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * 793084462855827171335753970699020081002924981454056931498319132299844099185216484891923333424235138982063044398547237214483804048283583256988890615083783536750038581006589754338020321<183> * 11260112207896040874002007107014124774805761321095776797478182328172015176628222795012170990924732503802736103829932798737583983791138174340456766434684366622613096537908123588539155307167594701<194> * [2132980516...<1385>] * [1591190802...<2856>] * [4593399746...<2874>] (11.42%)
10^8031+1 = 1000000000...<8032> = 7 * 11 * 13 * 16063 * 123143 * 1815007 * 2040052315786969713590983<25> * 5660228885253382294851368611<28> * 105021170017502783605838608705117<33> * 32527895571834255300177721872403035886859<41> * [2496209119...<2599>] * [2825934856...<5290>] (1.78%)
10^8032+1 = 1000000000...<8033> = 19841 * 976193 * 6187457 * 209297857 * 28817563009<11> * 134110859862593<15> * 834427406578561<15> * 196274513680409537<18> * [6298688195...<7950>] (1.02%)
10^8033+1 = 1000000000...<8034> = 11 * 59 * 9419 * 9973 * 2583222779<10> * 154083204930662557781201849<27> * 357860022058291030637547388712539215949789354777863692262948494477223727474739887<81> * 10468914499016579557201453341874912215225582139574447316416037464431191539530016363378410596200156667456521361543364087524984553450338741820813125049764526797163897841239696982641<179> * [1099999999...<7729>] (3.80%)
10^8034+1 = 1000000000...<8035> = 101 * 521 * 3121 * 9901 * 16069 * 801341 * 346973629 * 5439760205641<13> * 29286597879221<14> * 53397071018461<14> * 17001340047779821<17> * 1368296044086465469<19> * 13891285307609885761<20> * 157454610810626155729<21> * 1900381976777332243781<22> * 6060517860310398033985611921721<31> * 33670587927455442579575167786879669<35> * 95000575486937988681435170477136054984821<41> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [3147469726...<371>] * [6285394237...<2444>] * [3308271740...<4839>] (4.74%)
10^8035+1 = 1000000000...<8036> = 11 * 9091 * 28927 * 179092034651<12> * 10431746313731<14> * [3142707190...<1602>] * [5887827188...<6400>] (0.42%)
10^8036+1 = 1000000000...<8037> = 73 * 137 * 2297 * 7841 * 16073 * 68881 * 2426873 * 7280617 * 121553521 * 1567020001<10> * 52781463673<11> * 115655432914609337<18> * 127522001020150503761<21> * 4180491979461227921009<22> * 36637591407529194237097<23> * 19525935860882579293542098233<29> * 52057287243420615314389584473<29> * 5010620991340707523594168804430658367520003649793780623118456073<64> * 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94> * 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130> * [2799014134...<907>] * [1032533979...<6644>] (6.05%)
10^8037+1 = 1000000000...<8038> = 7 * 11 * 13 * 19^2 * 2053 * 6299 * 52579 * 344887 * 1458973 * 9127213 * 155891011 * 615771253 * 4410785971<10> * 127415608237<12> * 147181339891<12> * 2911579215499<13> * 65234226076087<14> * 4855067598095567<16> * 909090909090909091<18> * 6678842172224365369<19> * 27632013427105577209<20> * 1160803383934463712259<22> * 297262705009139006771611927<27> * 307010852070382484317401373<27> * 753201806271328462547977919407<30> * 6508684267533856834852965580950145565983063793936631379<55> * 8147270298945964118744634040617462692098679807835492529<55> * 30073566270559048948142559741512708796590524703892560552659<59> * 29874549234147150563417893319435781563246822689420867869526123029384708535314860658249277906939207757999026128433796893742812829982156826308475414151559767043882554568996178493027654798173575517<194> * [1099999999...<829>] * [3238413289...<1615>] * [5327096191...<4946>] (8.07%)
10^8038+1 = 1000000000...<8039> = 101 * 192317189 * 160964988371581<15> * 535058001753569809<18> * [5977619099...<7996>] (0.53%)
10^8039+1 = 1000000000...<8040> = 11 * 315160957 * 15876139249899116059<20> * [1816895732...<8011>] (0.36%)
10^8040+1 = 1000000000...<8041> = 17 * 3217 * 408433 * 1010897 * 1457921 * 4374833 * 5070721 * 5882353 * 692591329 * 885407681 * 1132716961<10> * 83116748161<11> * 591445912177<12> * 1059949154881<13> * 2929274744593<13> * 9999999900000001<16> * 15824802990282401<17> * 825581381912890513<18> * 37876619853775060414081<23> * 19721061166646717498359681<26> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * [2399498265...<500>] * [7239810604...<1012>] * [4895357527...<2081>] * [2996782361...<4179>] (3.35%)
10^8041+1 = 1000000000...<8042> = 11^2 * 23 * 103 * 4013 * 4093 * 5849 * 8779 * 26317 * 96493 * 176903 * 192611 * 47091881 * 57009401 * 616632127 * 2182600451<10> * 2415697087<10> * 21993833369<11> * 33076064143<11> * 1284680342573<13> * 6315203673292075607<19> * 125797399492676917721<21> * 18065356669522314875053<23> * 7306116556571817748755241<25> * 26582200910768587595398699258026449<35> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [6087694775...<336>] * [7146192047...<664>] * [8636746245...<6701>] (4.23%)
10^8042+1 = 1000000000...<8043> = 101 * [9900990099...<8040>] (0.02%)
10^8043+1 = 1000000000...<8044> = 7^2 * 11 * 13 * 127 * 2689 * 4597 * 11491 * 16087 * 32173 * 262739 * 459691 * 909091 * 1838401 * 4685623 * 2799205291<10> * 3185570329<10> * 25298067963285474987552915721<29> * [6426249820...<366>] * [4081846405...<745>] * [2702901535...<2260>] * [1010450693...<4571>] (1.28%)
10^8044+1 = 1000000000...<8045> = 73 * 137 * 4826401 * 1101471843905177<16> * 479130688602290369<18> * 4363650688053643382528506481<28> * [8996131683...<7973>] (0.88%)
10^8045+1 = 1000000000...<8046> = 11 * 9091 * 16091 * 151247 * [6010637626...<1603>] * [6836051209...<6428>] (0.18%)
10^8046+1 = 1000000000...<8047> = 101 * 109 * 1789 * 9901 * 10729 * 153469 * 607921 * 708049 * 999999000001<12> * 394330363955059501<18> * 136916416686052955621<21> * 59779577156334533866654838281<29> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * 1431694574...<572> * [1000000999...<1777>] * [1412331632...<5323>] (11.78%)
10^8047+1 = 1000000000...<8048> = 11 * 859 * 13619 * 1058313049<10> * 634201866251<12> * 592119999726203887006567<24> * [1777562374...<579>] * [1099999999...<7417>] (0.66%)
10^8048+1 = 1000000000...<8049> = 353 * 449 * 641 * 1409 * 16097 * 69857 * [6212337702...<8028>] (0.25%)
10^8049+1 = 1000000000...<8050> = 7 * 11 * 13 * 7630453 * 175580887 * 59393651491<11> * 132370312441<12> * 104848176687013<15> * 4741301499313724647<19> * 59051891945598167859824731<26> * 602461195352143806677712334813<30> * 683550815621211788409541725508493<33> * [5457676554...<2616>] * [1437499794...<5273>] (2.00%)
10^8050+1 = 1000000000...<8051> = 29 * 101 * 281 * 421 * 461 * 701 * 1289 * 3221 * 3541 * 27961 * 60101 * 131101 * 509681 * 1014301 * 3471301 * 7019801 * 13489841 * 62056301 * 115662401 * 116280641 * 121499449 * 144040261 * 422100001 * 29736207341<11> * 60368344121<11> * 87035923801<11> * 93744372901<11> * 1125310645201<13> * 4107757827661<13> * 8423655822821<13> * 14103673319201<14> * 18371524594609<14> * 88363026571961<14> * 1680588011350901<16> * 6794782522478441<16> * 69756767353855961<17> * 216613430183025989<18> * 1432932516494710801<19> * 8225357978845859081<19> * 16637631264355748201<20> * 104305081424021932721<21> * 439120676164610394481<21> * 848654483879497562821<21> * 13711691889120319921601<23> * 4181003300071669867932658901<28> * 354969305477178480614478251861<30> * 18769033515469256054311509073901<32> * 2483653042730360909999468558675400001<37> * 800347835624048997614541100944192471049901<42> * 1009805096139614383066323378818605356821967673241<49> * 213567756617511209506778605497489645838025587933288349770601<60> * 4729413357148090640380520548670420819661897089600775548490401<61> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * 2973385658387841660090191886374395419376540691403988974383959767974439471407978471880584291823101<97> * 4617409966317766554788668533405686826442194090910823947914436635807133747667659259397151418066265041582929284878893879005928553193826692398321349887540466176358283350940672581933619840253537612607049<199> * [3354436479...<327>] * [7462074404...<408>] * [6303460065...<410>] * [1071278787...<501>] * [1144135766...<2624>] * [8559824040...<2632>] (14.30%)
10^8051+1 = 1000000000...<8052> = 11 * 167 * 997 * 16103 * 209327 * 3565183 * 2097307081<10> * 77747508677<11> * 4946421605491<13> * 7742098247001476863<19> * 102527361354613106010527<24> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * 943176903141330068482602900960294299878841<42> * [8485609283...<7839>] (2.63%)
10^8052+1 = 1000000000...<8053> = 73 * 137 * 617 * 2377 * 16369 * 53681 * 209353 * 432961 * 467017 * 2438537 * 15609169 * 90284393 * 99990001 * 6796152793<10> * 24387741577<11> * 78331659649<11> * 82964213973305113<17> * 10399345405377216553<20> * 126197002179733470481<21> * 283830826522232279893972777<27> * 62122124071515581723854400288137<32> * 589411219716417709271235149821201993<36> * 16205834846012967584927082656402106953<38> * 89376848303370085832547257811113680017983140270444916137<56> * 441160056784956066935585043996395720339746991856908200056965652272217569686164467898219919069368304598422319868082307673772600748575192615252243347701807248793<159> * [1310250828...<421>] * [4240592318...<2345>] * [1022691613...<4790>] (6.19%)
10^8053+1 = 1000000000...<8054> = 11 * 12225798088689023887<20> * [7435841018...<8033>] (0.25%)
10^8054+1 = 1000000000...<8055> = 101 * 13213963525249<14> * 7471738988511916017181983831233189<34> * [1002821947...<8006>] (0.61%)
10^8055+1 = 1000000000...<8056> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 9091 * 12889 * 21481 * 29611 * 35801 * 42961 * 52579 * 112771 * 3762091 * 11172823 * 21206131 * 390699721 * 324553912651<12> * 472665429211<12> * 710127817291<12> * 8985695684401<13> * 103931804343331<15> * 6586348755220675329011<22> * 406122163793038854621269776053091<33> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * 5637215218...<312> * [2199819367...<679>] * [7766312351...<1064>] * [1262120659...<1397>] * [6721869459...<4233>] (8.49%)
10^8056+1 = 1000000000...<8057> = 17 * 30529 * 134369 * 5882353 * 732177617 * 812656733761<12> * 31735795756961<14> * 27249519156823169<17> * 3598147325458648817<19> * 105801292309560102097<21> * 603629153761700717727043176319834878581348416242509938432941817465457<69> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * 5231044960...<288> * [1680646664...<7468>] (7.31%)
10^8057+1 = 1000000000...<8058> = 11 * 9209 * 909091 * 64101493 * 2750240837<10> * 6689292023<10> * 8301750943<10> * 419053669019336330514342893<27> * 62455319460206304545562985879838483437<38> * [1903950738...<1099>] * [2225891378...<6847>] (1.39%)
10^8058+1 = 1000000000...<8059> = 101 * 409 * 3061 * 5689 * 9901 * 10429 * 132721 * 4077349 * 5969449 * 28559389 * 134703241 * 1491383821<10> * 564720079129<12> * 225974065503889<15> * 502607539514809<15> * 2324557465671829<16> * 44398000479007997569751764249<29> * 507998564486483655774880939989709<33> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * 7296903902...<303> * [1009999999...<2497>] * [8555372930...<4959>] (7.48%)
10^8059+1 = 1000000000...<8060> = 11 * 32237 * 11604961 * 447071851189444260653<21> * 129949302924329134475319109727<30> * [4182709759...<7997>] (0.77%)
10^8060+1 = 1000000000...<8061> = 73 * 137 * 1489 * 12401 * 161201 * 1580801 * 1676321 * 50755681 * 118585169 * 5964848081<10> * 8566123361<10> * 640543322297<12> * 830859185201<12> * 10624076183761<14> * 27908132670449<14> * 6848739900631036721<19> * 384705444182230291105649<24> * 144685957475846477676841682164313<33> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 175067038724863563854848045107963303611128869041<48> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * [2232494053...<447>] * [8510909936...<1381>] * 5838451338...<5742> (77.33%)
10^8061+1 = 1000000000...<8062> = 7 * 11 * 13 * 64489 * 259355473841<12> * 532994774320016237<18> * 49328822036034948619<20> * 51439215892406134477<20> * 6411504862262438002418447<25> * [2079353006...<2613>] * [3312673436...<5348>] (1.25%)
10^8062+1 = 1000000000...<8063> = 101 * 349 * 1669 * 38861 * 241861 * 618049 * 2359666781<10> * 154220035640400941<18> * 258634124137536061220697235240229<33> * 11811806375201836408679635736258669583187541<44> * 22566203851955475809719636369904190294286729<44> * 538978365796508304569088931293097537674917585678041<51> * 17578550135840913456911316683567075151132274090424405862513992032108985729<74> * 17991550746452636778885686845907191686483610285262887318124980694534367263929242005840749<89> * [6842566485...<7681>] (4.73%)
10^8063+1 = 1000000000...<8064> = 11^2 * 23 * 4093 * 7331 * 8779 * 16127 * 2444104939<10> * 1773451196969129<16> * 292751774561009766092927<24> * [6992377289...<713>] * [9532783158...<7283>] (0.83%)
10^8064+1 = 1000000000...<8065> = 257 * 15361 * 434689 * 453377 * 859393 * 7710977 * 25597441 * 260241409 * 12939800833<11> * 45501964033<11> * 30094191703297<14> * 33649448872371457<17> * 145778507161340929<18> * 5336531453709872269057<22> * 4560897401317754430626820629544566062629889<43> * 142018149548859447798990430842371897431582393270575475042667940048026473157944321<81> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * 38425031666569023499290434804662265509189764624919574336880482034091688791929134441331363930601958862159411412508866084507001318401<131> * [4829281873...<698>] * [1501160221...<753>] * [3322900345...<1523>] * [1873876334...<4587>] (6.27%)
10^8065+1 = 1000000000...<8066> = 11 * 9091 * 80651 * 3590731561<10> * 274417706011<12> * 201356010335783<15> * 80461720065982540258531<23> * 2302648464484300189292447<25> * [2436832979...<1551>] * [1384151147...<6423>] (1.15%)
10^8066+1 = 1000000000...<8067> = 101 * 149 * 3109 * 20929 * 111149 * 143881 * 708840373781<12> * 49369369412784246809<20> * 669031686661427842829<21> * 35701893527078181712481<23> * 40548140514062774758071840361<29> * 186542533208908650296535628715346860095610970570440898568725754271736032193933900171521062975638672064604619723224194512848019552268302687189633740722184126124790381<165> * [1009999999...<7777>] (3.60%)
10^8067+1 = 1000000000...<8068> = 7 * 11 * 13 * 642133201 * 884925198847<12> * 1134758656117<13> * 110028969681637<15> * 1022965860013764807139<22> * 2595661175357965328882122630414123129<37> * [1415735719...<2680>] * [3745694504...<5281>] (1.33%)
10^8068+1 = 1000000000...<8069> = 73 * 137 * 506960849 * 20118299307848641<17> * [9803719711...<8039>] (0.36%)
10^8069+1 = 1000000000...<8070> = 11 * 16139 * [5632882514...<8064>] (0.07%)
10^8070+1 = 1000000000...<8071> = 61 * 101 * 3229 * 3541 * 5381 * 8609 * 9901 * 16141 * 27961 * 35509 * 67789 * 581041 * 726301 * 1162081 * 4188901 * 8089369 * 39526741 * 4305405011749<13> * 31083091138921<14> * 149166495278321<15> * 355838514399900341881<21> * 7709583619218346870321<22> * 7920513256292637220195721<25> * 146574495419438345262106021<27> * 3089089355818193612782932100061<31> * 2324828435...<496> * [2716442473...<1013>] * [3213499126...<1052>] * [1893227426...<1059>] * [1239620302...<2078>] * [4636785716...<2132>] (9.16%)
10^8071+1 = 1000000000...<8072> = 11 * 909091 * 34861441567<11> * 3001997409483091<16> * [3028286787...<1137>] * [3155348260...<6902>] (0.41%)
10^8072+1 = 1000000000...<8073> = 17 * 3922993 * 5882353 * 3639261817814737<16> * 80345702972914735097233<23> * [8717792074...<8019>] (0.66%)
10^8073+1 = 1000000000...<8074> = 7 * 11 * 13^2 * 19 * 47 * 139 * 157 * 859 * 2531 * 6397 * 31051 * 41263 * 52579 * 107641 * 216451 * 461917 * 592489 * 2142037 * 60034573 * 70541929 * 1058313049<10> * 7534697743<10> * 14175966169<11> * 32494323733<11> * 37916801893<11> * 74378092807<11> * 388847808493<12> * 564362592691<12> * 30742515591607<14> * 40118979906877<14> * 143574021480139<15> * 201548060483167<15> * 549797184491917<15> * 143409436964525899<18> * 1528411013354047447<19> * 831759677425747570837717<24> * 2414667616251762189340783<25> * 24649445347649059192745899<26> * 49462885782449177777584561<26> * 16600045372198176463698583051489<32> * 20186272871950202514968048148247<32> * 117680633072620952134930832292859<33> * 8506605834248913330852032305919581849<37> * 1880709802856952955373413305337158032187793270681<49> * 1281657376897297354090423403366881099978010686253604381263<58> * 36096800156828895568286578224818258719817914995401933354161<59> * 75691170432105638169937308505913924514228814615635050477687293<62> * 6862390300547244074038319769783944997739006024946890580945655121<64> * 8000274558764048855772521798953431026754861120047615036248955653510671403655103704934457289394961420440781989755335177962505013085247<133> * 348953870513908636566325964119116561382775844756670203139413369145466843559239862216107575333780861060309557540714055579224966141897413<135> * 2762606195...<347> * [5269656631...<425>] * [4932240392...<1493>] * [9999999990...<4752>] (17.39%)
10^8074+1 = 1000000000...<8075> = 89 * 101 * 36334469 * 1052788969<10> * 1056689261<10> * 2953969789<10> * 55997061575122850589221<23> * 5199635803411913284713990963149<31> * 53186684578658359902077268952369<32> * 5240670838...<694> * [1148013954...<7257>] (10.13%)
10^8075+1 = 1000000000...<8076> = 11 * 103 * 251 * 647 * 4013 * 5051 * 9091 * 64601 * 87211 * 108529 * 253651 * 738379 * 2254201 * 787223761 * 21993833369<11> * 68049856411<11> * 1644353478367<13> * 1812604116731<13> * 40397193911401<14> * 78875943472201<14> * 121450506296081<15> * 909090909090909091<18> * 1078893279821424911891<22> * 37536220395103028946001<23> * 430980650733675562214801<24> * 3605627469350067392124001<25> * 165564988462016408581266824201<30> * 201069283252703294533187911388251<33> * 58843194805477553605150567358639681<35> * 73610520788177438692703784333146668068451<41> * 4996731930447843676185843959746621491531100801<46> * 160220794821014452066741918303580917664386555934641<51> * 298705372736554351789156294144090138390916509553983003911433879637774413<72> * 40035620418199159948776350763252140477472791476548845372200559635028684381015278952822428460800436345936412694554672982482829838608416302164821877697601124434554975414863<170> * 1810329304...<212> * [6758940096...<284>] * [2270325883...<1107>] * [3831821036...<5742>] (11.68%)
10^8076+1 = 1000000000...<8077> = 73 * 137 * 99990001 * 11487184763433409<17> * 1218911162394824401<19> * 1262123248493735684653565977<28> * 4609744264246201351654201193<28> * 2169100827...<2661> * [5659212478...<5315>] (34.19%)
10^8077+1 = 1000000000...<8078> = 11 * 15761 * 7187743 * 218042508986317<15> * 2670502781396266997<19> * 3404193829806058997303<22> * 300567477887394052365757<24> * 29811355463297742645615812791522446524687<41> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * [5044887829...<7826>] (3.11%)
10^8078+1 = 1000000000...<8079> = 29 * 101 * 281 * 2309 * 1871789 * 121499449 * 34428262901<11> * 272177565333718069<18> * 306332673158836861<18> * [7980627608...<1097>] * [1009999999...<6913>] (0.86%)
10^8079+1 = 1000000000...<8080> = 7 * 11 * 13 * 166788263 * 659892721 * 71178849967<11> * 84369848558917<14> * 183008218825360328809<21> * 15057589219885885523681437<26> * 135249109434608436666375395383<30> * [5450568839...<2684>] * [7440233749...<5276>] (1.48%)
10^8080+1 = 1000000000...<8081> = 353 * 449 * 641 * 1409 * 69857 * 1634881 * 18453761 * 404904961 * 989476801 * 83656903777<11> * 947147262401<12> * 208834279440434181761<21> * 429692847608312193093180411944321<33> * 349954396040122577928041596214187605761<39> * [2781890864...<1557>] * [1195197009...<6363>] (2.00%)
10^8081+1 = 1000000000...<8082> = 11 * 48487 * 126354517 * [1483854194...<8068>] (0.17%)
10^8082+1 = 1000000000...<8083> = 101 * 9901 * 116741 * 1082989 * 14741569 * 1047678641<10> * 5539645261<10> * 14233727449<11> * 999999000001<12> * 454314878228367241<18> * 2886354458906795587641947282821<31> * 21656572209677916741002017772043949<35> * [2804642194...<852>] * [7211998312...<1730>] * [1130708675...<5354>] (1.83%)
10^8083+1 = 1000000000...<8084> = 11 * 1889 * 96997 * 364393423 * 117651465889<12> * 441651480271681<15> * 676321006412903<15> * 18316411815419849<17> * 385298849463275971<18> * 1090805842068098677837<22> * 218801242136856556680173235529<30> * 4411922770996074109644535362851087<34> * 3244569580634956101009646791013296826459859399717968478099<58> * [1606927456...<7850>] (2.89%)
10^8084+1 = 1000000000...<8085> = 73 * 137 * 70313 * 79337 * 485041 * 118710721 * 6578404633<10> * 2589644191044553<16> * 6559070566375577<16> * 2867443649364054475343041995521<31> * 169905327561162104198557246291921<33> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 38993135849791157061060738352944105076217<41> * 34908493290773859017057784025792153817150916131843303273<56> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [2053364902...<7667>] (5.17%)
10^8085+1 = 1000000000...<8086> = 7^3 * 11^2 * 13 * 23 * 127 * 197 * 211 * 241 * 331 * 463 * 491 * 2161 * 2689 * 3851 * 4093 * 5171 * 8317 * 8779 * 9091 * 18131 * 24179 * 101641 * 459691 * 572419 * 590437 * 909091 * 4147571 * 7444361 * 80073841 * 170873011 * 599144041 * 4124507971<10> * 5562667573<10> * 5650149331<10> * 11933166001<11> * 20163494891<11> * 29970369241<11> * 183411838171<12> * 5151849619841<13> * 117601149473851<15> * 1661378260814161<16> * 2622832433505481<16> * 265212793249617641<18> * 4539402627853030477<19> * 10299861994620848651<20> * 323604909570746678491<21> * 2531669539395619502881<22> * 4924630160315726207887<22> * 18276168846821336356291<23> * 136094982876222218559943<24> * 318727841165674579776721<24> * 19835636682880495867311241<26> * 653518704357372488880162997801<30> * 424937041000027357322232272909041<33> * 5076141624365532994918781726395939035533<40> * 1051543809110704722613632495009411089889481<43> * 1112314101311286003379752617807870409611285281<46> * 3815465557445576556927066195758955772398238343771<49> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 344341844846703786817473277913191388002951653836331226276069207904024253974360331148938523782918481623963597196523579507803885921997278081<138> * [4808418242...<287>] * [1000000099...<421>] * 1081148355...<476> * 1240497211...<804> * [2353502759...<1641>] * [7272108536...<3307>] (30.07%)
10^8086+1 = 1000000000...<8087> = 101 * 521 * 145549 * 1778921 * 30699210569<11> * 1926527989361<13> * 1900381976777332243781<22> * 27489992513114011788181<23> * 20270411022697016392828178929<29> * [4884454532...<592>] * [2399265634...<7384>] (1.37%)
10^8087+1 = 1000000000...<8088> = 11 * 124863281 * 18678003589638935813<20> * [3898002539...<8059>] (0.35%)
10^8088+1 = 1000000000...<8089> = 17 * 5393 * 1083793 * 5882353 * 9999999900000001<16> * 696352989671802280143473281<27> * [1854255497...<2685>] * [1325025444...<5344>] (0.75%)
10^8089+1 = 1000000000...<8090> = 11 * [9090909090...<8088>] (0.01%)
10^8090+1 = 1000000000...<8091> = 101 * 3541 * 27961 * 2268894114049<13> * 832036828482301081<18> * 22770581027188333021<20> * 58395921734603572673648441<26> * 816165129661426195891963291714151429<36> * [5346706711...<1568>] * [7360752798...<3188>] * [1240223513...<3214>] (1.50%)
10^8091+1 = 1000000000...<8092> = 7 * 11 * 13 * 19 * 59 * 373 * 1117 * 16183 * 44641 * 52579 * 155557 * 5733823 * 3590254957<10> * 638453709757<12> * 728008898249<12> * 135080726389891<15> * 6271711773186732241081<22> * 2762580729671077856014459<25> * 154083204930662557781201849<27> * 909090909090909090909090909091<30> * 1274194732898148471766404179653<31> * 183372282864547916749018225828651<33> * 1783819981751579676826660296718813<34> * 19139674963189505655771688512382087<35> * 6811645794372004956047418049529911921<37> * 18381907262281244633158190677786966663091011<44> * 341961712618023873833889329797322976594377309179358917195456869103863096664894815555956884183686442687<102> * 4887054837129490444185770642291712106451445708466643483270887621857163512076927093556902832792696796518529880218993484798134507347686651311824503<145> * [7718379575...<754>] * [1450959535...<1659>] * [6173150837...<5036>] (7.95%)
10^8092+1 = 1000000000...<8093> = 73 * 137 * 953 * 7841 * 32369 * 371281 * 5534929 * 6514537 * 152533657 * 2051807521<10> * 3078437249<10> * 183116258609<12> * 127522001020150503761<21> * 288903890273932269026126209<27> * 4821233048302009490154033911787593<34> * 57556882578341647185153598986016964185201<41> * 65552746171882583264230070868884366877803237222654400793<56> * 1563539502...<295> * [6140297287...<1041>] * [2720332848...<6508>] (6.72%)
10^8093+1 = 1000000000...<8094> = 11 * 97117 * 1020058097574576146276921<25> * [9176712985...<8063>] (0.37%)
10^8094+1 = 1000000000...<8095> = 101 * 229 * 569 * 2281 * 4789 * 7669 * 9901 * 16189 * 501829 * 304077901 * 52875286008709<14> * 380623849488714809<18> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 9234177915412657069<19> * 33950736420661075851541<23> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * 791145568078856137872408096636314622331869565265096415358925771275309<69> * 843407644889588409015473024758866665298118138956929263554289382634028509255935457469<84> * 101253197252546739391696960929770677225345517172721793498446653911414524366799333412935173798585607285941<105> * [1009999999...<2521>] * [1972982828...<5035>] (6.67%)
10^8095+1 = 1000000000...<8096> = 11 * 9091 * 48571 * 7259597 * 5266602059653805527<19> * 330540039454405022087<21> * 2700673176690155379491<22> * 4357794452332076047637<22> * 4943998794769991229999491<25> * 88376853595525515029074288804105939891<38> * [1867819674...<1513>] * [1696136929...<6422>] (2.00%)
10^8096+1 = 1000000000...<8097> = 16193 * 19841 * 976193 * 6187457 * 25687873 * 23447080358593<14> * 834427406578561<15> * 30942987586585490641217<23> * 26670033927811409112897180097<29> * 275568764703416069789958894913<30> * 222688353792418778799593928777532880641<39> * 3162086824598326714007856976523611232833<40> * 196492106862714324563103086902334481596741493532094589569<57> * 1155769568319416848232879884038923230156612854236699681690470894082785656521814637400877154955316209847158487433384244688679028278097388037431233<145> * [4565408279...<645>] * [6175507935...<7036>] (5.13%)
10^8097+1 = 1000000000...<8098> = 7 * 11 * 13 * 69261739 * 442250318299<12> * 74717567754635372799249973<26> * 3279708514581454577251383230741819<34> * [2771864954...<2665>] * [4801471285...<5351>] (1.01%)
10^8098+1 = 1000000000...<8099> = 101 * [9900990099...<8096>] (0.02%)
10^8099+1 = 1000000000...<8100> = 11 * 179 * 859 * 3739 * 100927 * 909091 * 4688699 * 21705503 * 1058313049<10> * 440539712183663<15> * 12147237304901893<17> * 123474591212464107593251<24> * 13378213694776381948129147625293<32> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [6216951209...<513>] * [8222323436...<1025>] * [1671262611...<6299>] (3.25%)
10^8100+1 = 1000000000...<8101> = 73 * 137 * 401 * 1201 * 1601 * 3169 * 32401 * 98641 * 1676321 * 1684801 * 68562937 * 99990001 * 265183201 * 852826321 * 5964848081<10> * 14767753476961<14> * 68667861240001<14> * 72132253909201<14> * 321473851171201<15> * 3199044596370769<16> * 11025881611767712801<20> * 178601070881582358375601<24> * 1589729181144791629795921<25> * 100009999999899989999000000010001<33> * 1726290008991504500177463302688697<34> * 4711806100010561082466291127577601<34> * 95853807664312827399794371014650641<35> * 579276943498154282123686999881829009033<39> * 43599922525432064821850834951727679807657<41> * 51568786797481312749777492089812443769921<41> * 1216057084775405433757097429262954022602494154001<49> * 4482637729513780747000872935673625025127940754401<49> * 39340929985040037939860550511566010202173435808159761<53> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 14612365731240570382005793941286349536257260783370326347124974631092755601<74> * 334522142365084475733005788763069665597428914843872461953834690104120914487934715334187622132844561179868971005307865589696093471675431176480908194696635755950657968289<168> * [6771510653...<275>] * [1432241739...<395>] * [1430307262...<791>] * [1831064536...<1394>] * [5935419079...<4314>] (11.53%)